This problem statement sounds like conditional probability for two events (e.g., rolling a die twice or rolling two dice) -- but it is not. The problem is not "Find the probability that the second roll of a die is odd given that the first roll is less than 4" or "Find the probability that a die is odd given that the other die is less than 4."
The problem only allows/considers results (that is, "given") of less than 4; these are all the possible results. There are 3 possible results.
The successful results are the odd numbers. There are 2 odd numbers (that is, 1 and 3) that are less than 4.
This problem could be stated, "Find the probability of a 3-sided spinner (1, 2, 3) resulting in an odd number."
Probability is defined as: (number of successful results) / (number of possible results)
Given that the only results of less than 4 are allowed/considered, the Probability (odd) = 2/3.